To construct a circuit that weights inputs as Vo = V1 + 2V2 + 3V3, a summing amplifier configuration using an operational amplifier (op-amp) is recommended. The circuit can utilize resistors to set the weighting factors for each input, where the resistor values determine the gain for each input voltage. Understanding the basic operation of op-amps, including inverting and non-inverting configurations, is crucial for designing this circuit. It is important to engage with the equations and attempt a solution rather than seeking direct answers. Proper forum etiquette encourages learning through guidance rather than completing homework tasks.